Question

Find the degree of the following algebraic expressions : $15a^3{b}^2-10a^2{b}^2+9$

Answer 1

Use the definition of degree of a polynomial and identify the degree of the given expression

We know that if $p\left(x\right)$ is a polynomial in $x$, the highest power of $x$ in $p\left(x\right)$ is called the degree of the polynomial $p\left(x\right)$.

The term having highest power (sum of the powers) is $15a^3{b}^2$

Since $a$ has a power of $3$ and the power of $b$ is $2$ and

Sum of the powers of the term $15a^3{b}^2$ $=3+2=5$

Therefore, the required degree of the given algebraic expression is $5$